The most important properties of normal and Student t-distributions are presented. A number of applications of these properties are demonstrated. New related results dealing with the distributions of the sum, product and ratio of the independent normal and Student distributions are presented. The materials will be useful to the advanced undergraduate and graduate students and practitioners in the various fields of science and engineering
International audienceIn this paper, we find an expression for the density of the sum of two indepen...
We introduce a natural extension of the Student’s tt-distribution that also allows for a negative sh...
An asymptotic expansion of the Student t distribution is derived by expanding the standardized Stude...
Student’s t distribution arose, of course, and has huge application, as a normal-based sampling dist...
If Z is a standard normal random variable, Y is a chi-squared random variable with v degrees of free...
Student’s t distribution arose as a normal-based sampling distribution and has huge application as s...
This note derives the distribution of the sum of a normal and Student's t random variable with arbit...
This note derives the distribution of the sum of a normal and Student's t random variable with arbit...
Student's t Distribution is introduced with background including comments on its robustness properti...
In this paper, I note the pedagogical advantages of an existing, but largely ignored, simple symmetr...
Let X1:3≤X2:3≤X3:3 be the order statistics of the independent and identically distributed random var...
A generalization of the logistic distribution is defined and its cumulants are derived. By equating ...
A generalization of the logistic distribution is defined and its cumulants are derived. By equating ...
summary:The distributions of linear combinations, products and ratios of random variables arise in m...
International audienceIn this paper, we find an expression for the density of the sum of two indepen...
International audienceIn this paper, we find an expression for the density of the sum of two indepen...
We introduce a natural extension of the Student’s tt-distribution that also allows for a negative sh...
An asymptotic expansion of the Student t distribution is derived by expanding the standardized Stude...
Student’s t distribution arose, of course, and has huge application, as a normal-based sampling dist...
If Z is a standard normal random variable, Y is a chi-squared random variable with v degrees of free...
Student’s t distribution arose as a normal-based sampling distribution and has huge application as s...
This note derives the distribution of the sum of a normal and Student's t random variable with arbit...
This note derives the distribution of the sum of a normal and Student's t random variable with arbit...
Student's t Distribution is introduced with background including comments on its robustness properti...
In this paper, I note the pedagogical advantages of an existing, but largely ignored, simple symmetr...
Let X1:3≤X2:3≤X3:3 be the order statistics of the independent and identically distributed random var...
A generalization of the logistic distribution is defined and its cumulants are derived. By equating ...
A generalization of the logistic distribution is defined and its cumulants are derived. By equating ...
summary:The distributions of linear combinations, products and ratios of random variables arise in m...
International audienceIn this paper, we find an expression for the density of the sum of two indepen...
International audienceIn this paper, we find an expression for the density of the sum of two indepen...
We introduce a natural extension of the Student’s tt-distribution that also allows for a negative sh...
An asymptotic expansion of the Student t distribution is derived by expanding the standardized Stude...